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Insert 4 geometric means between 1 and 2...

Insert 4 geometric means between 1 and 243.

Text Solution

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Let `G_(1),G_(2),G_(3)andG_(4)` be the geometric means
`therefore1,G_(1),G_(2),G_(3)G_(4),243` are in G.P.
`a=1,r=?,T_(6)=243`
Now `T_(6)=243rArrar^(5)=243rArr1.r^(5)=3^(5)rArrr=3`
`G_(1)=a.r=1.3,G_(2)=3.3=9,G_(3)=9.3=27,G_(4)=27.3=81`
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